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Beliebt Rechnen >

derivative f(x)=(t^3+3t)/(t^{3-4t+3)}

Lösung

ableitung von

f (x) = \frac{t ^{3} + 3 t}{t ^{3 - 4 t + 3}}

Lösung

\frac{d t}{d x} = 0

Schritte zur Lösung

f (x) = \frac{t ^{3} + 3 t}{t ^{3 - 4 t + 3}}

Behandle

t

wie

t (x)

Beide Seiten differenzieren:

0 = - 3 \frac{d t}{d x} t^{4 t - 4} + 4 ln (t) \frac{d t}{d x} t^{4 t - 3} + 12 ln (t) \frac{d t}{d x} t^{4 t - 5} + 4 \frac{d t}{d x} t^{4 t - 3} + 12 \frac{d t}{d x} t^{4 t - 5} - 15 \frac{d t}{d x} t^{4 t - 6}

Isoliere

\frac{d t}{d x} : \frac{d t}{d x} = 0

\frac{d t}{d x} = 0

Beliebte Beispiele

(\partial)/(\partial x)(3sec^2(2x+3y))

\frac{\partial}{\partial x} (3 sec^{2} (2 x + 3 y))

integral of (e^x)/(4-e^x)

\int \frac{e ^{x}}{4 - e ^{x}} d x

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x \to 0 lim (\frac{sin ( x ) - 2 x}{x})

derivative of x/(sqrt(x-1))

\frac{d}{d x} (\frac{x}{x - 1})

integral of (4x^2)/(x^2)

\int \frac{4 x ^{2}}{x ^{2}} d x